hi
i have been given the attached question to work through and i just cant get my head around it (sorry its an attachment, i can not work out how to display it within this message).
any help/pointers you could give would be great
thanks
hi
i have been given the attached question to work through and i just cant get my head around it (sorry its an attachment, i can not work out how to display it within this message).
any help/pointers you could give would be great
thanks
i think, there was a mistake.. Q is not 2.5t but (5-2.5t)
anyways, i'll put a solution here..
and the integrating factor is given by $\displaystyle = \exp \left[ {\int_0^t {0.1 \, d\tau}} \right] = \exp (0.1t) = e^{0.1t}$i have to find the temp at time $\displaystyle T$ if $\displaystyle T=60^o$ when t=0 using $\displaystyle \frac{dT}{dt} + 0.1T = e^{0.1t}$
so, $\displaystyle T= \dfrac{1}{e^{0.1t}} \left( {60^o + \int_0^t e^{0.1\tau }\left( {5-2.5\tau } \right)} \, d\tau \right)$
the integral part can be solved using integration by parts once..